Requirement 1:
Direct Materials in 2018 = 15,375 lbs
Direct Material Cost per pound = $44
Direct Materials Cost in 2018
= Direct Materials in pounds * Direct Material Cost per pound
= 15,375 * $44
= $676,500
Conversion Costs = $550,000
Marketing Costs = $362,500
Total Costs
= Direct Material Costs + Conversion Costs + Marketing Costs
= $676,500 + $550,000 + $362,500
= $1,589,000
Capital Investment = $1,000,000
Target Return on Investment = 25%
Target Profit
= Capital Investment * Target Return on Investment
= $1,000,000 * 25%
= $250,000
Target Sales in dollars
= Total Costs ++ Target Profit
= $1,589,000 + $250,000
= $1,839,000
Unit Sales in 2018 = 5,500
Selling Price per unit
= Target Sales in dollars / Unit Sales
= $1,839,000 / 5,500
= $334.3636
Price to be charged to generate a 25% target rate of return on investment in 2018 = $335 (the price is rounded off to next dollar since if the price is $334, then the target profit will not be generated).
Requirement 2:
Total Costs = $1,589,000
Target Profit
= 50% on total costs
= 50% of $1,589,000
= $794,500
Target Sales in dollars
= Total Costs + Target Profit
= $1,589,000 + $794,500
= $2,383,500
Unit Sales in 2018 = 5,500
Selling Price per unit
= Target Sales in dollars / Unit Sales
= $2,383,500 / 5,500
= $433.3636
Price to be charged to generate a 50% markup to full costs in 2018 = $434 (the price is rounded off to next dollar since if the price is $433, then the target profit will not be generated).
Requirement 3:
Actual Units of output sold in 2018 = 5,500
Actual Units of output sold in 2017 = 5,000
Selling Price in 2017 = $400
Revenue Efffect of the Growth Component
= (Actual Units of output sold in 2018 - Actual Units of output sold in 2017) * Selling Price in 2017
= (5,500 - 5,000) * $400
= 500 * $400
= $200,000
Revenue Effect of the Growth Component = $200,000
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